Shimuras Reziprozitätsgesetz für den Körper der arithmetischen elliptischen Funktionen beliebiger Stufe.
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Rolf Berndt (1983)
Journal für die reine und angewandte Mathematik
Dinesh S. Thakur (1993)
Inventiones mathematicae
Martin Widmer (2010)
Journal de Théorie des Nombres de Bordeaux
Let be a finite extension of a global field. Such an extension can be generated over by a single element. The aim of this article is to prove the existence of a ”small” generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.
John Knopfmacher (1985)
Manuscripta mathematica
Mark van Hoeij, John Cremona (2006)
Journal de Théorie des Nombres de Bordeaux
Let be a field whose characteristic is not and . We give a simple algorithm to find, given , a nontrivial solution in (if it exists) to the equation . The algorithm requires, in certain cases, the solution of a similar equation with coefficients in ; hence we obtain a recursive algorithm for solving diagonal conics over (using existing algorithms for such equations over ) and over .
Stein, Andreas, Williams, Hugh C. (1999)
Experimental Mathematics
Robert C. Valentini (1986)
Mathematische Zeitschrift
Umberto Zannier (1993)
Acta Arithmetica
Robert Bond (1979)
Acta Arithmetica
H. Pahlings (1989)
Rendiconti del Seminario Matematico della Università di Padova
Serge Lang, Daniel S. Kubert (1978)
Mathematische Annalen
M.L. Madan, Gabirel D. Villa Salvador (1986/1987)
Manuscripta mathematica
Emrah Çakçak, Ferruh Özbudak (2004)
Acta Arithmetica
Gautam Chinta, Joel B. Mohler (2010)
Acta Arithmetica
Christopher Frei (2011)
Acta Arithmetica
E.-U. Gekeler (1990)
Journal de théorie des nombres de Bordeaux
Y. Pourchet (1971)
Acta Arithmetica
Jean-Paul Allouche (1990)
Journal de théorie des nombres de Bordeaux
En utilisant le théorème de Christol, Kamae, Mendès France et Rauzy, nous donnons une démonstration élémentaire de la transcendance de la série formelle ainsi que d’autres séries formelles à coefficients dans un corps fini.
R. Paysant-Le Roux (1994)
Acta Arithmetica
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